Knowee
Questions
Features
Study Tools

Let G = 1,2,3,4,5,6}. Find the order of all the elements of G under the binary operation“multiplioation modulo 7”

Question

Let G = 1,2,3,4,5,6}. Find the order of all the elements of G under the binary operation“multiplioation modulo 7”

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, let's find the order of all the elements of G under the binary operation "multiplication modulo 7".

  1. For G = 1: 11 = 1 (mod 7), 11*1 = 1 (mod 7), and so on. So, the order of 1 is 1.

  2. For G = 2: 2*2

Similar Questions

. Let G = 0,1,2,3,4}. Find the order of all the elements of G under the binary operation“addition modulo 5”

Is the above set a group under multiplioation modulo 7

Is the set 1,2,3,4,5,7} a group under addition modulo 7.(b) Is the above set a group under multiplioation modulo 7.

A number when successively divide by 3, 5 and 8 leaves remainders 1, 4 and 7 respectively. Find the respective remainders if the order of divisors be reversed.Options :A] 5, 4, 2B] 6, 4, 2C] 1, 1, 3D] None of these

Find the least number when successively divided by 2,3, and 7 it leaves reminder 1,2, and 3 respectively.Options6367656175

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.